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328232448 = 29321923163
BaseRepresentation
bin10011100100000…
…110111000000000
3211212121221021100
4103210012320000
51133011414243
652323054400
711063633625
oct2344067000
9755557240
10328232448
11159307995
1291b11400
13530043ab
143184234c
151dc390d3
hex13906e00

328232448 has 240 divisors, whose sum is σ = 1046897280. Its totient is φ = 98537472.

The previous prime is 328232441. The next prime is 328232453. The reversal of 328232448 is 844232823.

It is a happy number.

328232448 is a `hidden beast` number, since 328 + 2 + 324 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328232441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013615 + ... + 2013777.

It is an arithmetic number, because the mean of its divisors is an integer number (4362072).

Almost surely, 2328232448 is an apocalyptic number.

328232448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328232448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523448640).

328232448 is an abundant number, since it is smaller than the sum of its proper divisors (718664832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328232448 is a wasteful number, since it uses less digits than its factorization.

328232448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 328232448 is about 18117.1865365459. The cubic root of 328232448 is about 689.8063224529.

The spelling of 328232448 in words is "three hundred twenty-eight million, two hundred thirty-two thousand, four hundred forty-eight".